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25 Problemsfor STEM Education introduces a new and emerging course for undergraduate STEM programs called Physical-Mathematical Informatics. This course corresponds with the new direction in education called STE(A)M (Science, Technology, Engineering, [Art] and Mathematics). The book focuses on undergraduate university students (and high school students), as well as the teachers of mathematics, physics, chemistry and other disciplines such as the humanities. This book is suitable for readers who have a basic understanding of mathematics and math software. Features Contains 32 interesting problems (studies) and new and unique methods of solving these physical and mathematical problems using a computer as well as new methods of teaching mathematics and physics Suitable for students in advanced high school courses and undergraduates, as well as for students studying Mathematical Education at the Master's or PhD level One of the only books that attempts to bring together ST(E)AM techniques, computational mathematics and informatics in a single, unified format
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Differential equations are often used in mathematical models for technological processes or devices. However, the design of a differential mathematical model is crucial and difficult in engineering. As a hands-on approach to learn how to pose a differential mathematical model the authors have selected 9 examples with important practical application and treat them as following: - Problem-setting and physical model formulation - Designing the differential mathematical model - Integration of the differential equations - Visualization of results Each step of the development of a differential model is enriched by respective Mathcad 11 commands, todays necessary linkage of engineering significance and high computing complexity. To support readers of the book with respect to changes that might occur in future versions of Mathcad (Mathcad 12 for example), updates of examples, codes etc. can be downloaded from the following web page www.thermal.ru. Readers can work with Mathcad-sheets of the book without any Mathcad by help Mathcad Application Server Technology.
Engineering --- Differential equations. --- Mathematical models. --- MathCAD. --- 517.91 Differential equations --- Differential equations --- Engineering mathematics. --- Mechanics, applied. --- Mathematical physics. --- Differential Equations. --- Differential equations, partial. --- Mathematical and Computational Engineering. --- Theoretical and Applied Mechanics. --- Mathematical Methods in Physics. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Classical and Continuum Physics. --- Physical mathematics --- Physics --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Engineering analysis --- Mathematical analysis --- Partial differential equations --- Mathematics --- Applied mathematics. --- Mechanics. --- Mechanics, Applied. --- Physics. --- Partial differential equations. --- Continuum physics. --- Classical field theory --- Continuum physics --- Continuum mechanics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Classical mechanics --- Newtonian mechanics --- Quantum theory
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